sdr.design_highpass_fir

Designs a highpass FIR filter impulse response \(h[n]\) using the window method.

Parameters:¶

order: int¶

The filter order \(N\). Must be even.

cutoff_freq: float¶

The cutoff frequency \(f_c\), normalized to the Nyquist frequency \(f_s / 2\).

The time-domain window to use.

None: No windowing. Equivalently, a length-\(N + 1\) vector of ones.
"hamming": Hamming window, see scipy.signal.windows.hamming().
"hann": Hann window, see scipy.signal.windows.hann().
"blackman": Blackman window, see scipy.signal.windows.blackman().
"blackman-harris": Blackman-Harris window, see scipy.signal.windows.blackmanharris().
"chebyshev": Chebyshev window, see scipy.signal.windows.chebwin().
"kaiser": Kaiser window, see scipy.signal.windows.kaiser().
npt.ArrayLike: A custom window. Must be a length-\(N + 1\) vector.

atten: float = 60¶

The sidelobe attenuation in dB. Only used if window is "chebyshev" or "kaiser".

Returns:¶

The filter impulse response \(h[n]\) with length \(N + 1\). The center of the passband has 0 dB gain.

References¶

https://www.mathworks.com/help/dsp/ref/designhighpassfir.html

Examples¶

Design a length-101 highpass FIR filter with cutoff frequency \(f_c = 0.7 \cdot f_s / 2\), using a Hamming window.

In [1]: h_hamming = sdr.design_highpass_fir(100, 0.7, window="hamming")

In [2]: plt.figure(figsize=(8, 4)); \
   ...: sdr.plot.impulse_response(h_hamming);
   ...: 

In [3]: plt.figure(figsize=(8, 4)); \
   ...: sdr.plot.magnitude_response(h_hamming, x_axis="one-sided");
   ...: 

../../_images/sdr_design_highpass_fir_1.png

../../_images/sdr_design_highpass_fir_2.png

Compare filter designs using different windows.

In [4]: h_hann = sdr.design_highpass_fir(100, 0.7, window="hann"); \
   ...: h_blackman = sdr.design_highpass_fir(100, 0.7, window="blackman"); \
   ...: h_blackman_harris = sdr.design_highpass_fir(100, 0.7, window="blackman-harris"); \
   ...: h_chebyshev = sdr.design_highpass_fir(100, 0.7, window="chebyshev"); \
   ...: h_kaiser = sdr.design_highpass_fir(100, 0.7, window="kaiser")
   ...: 

In [5]: plt.figure(figsize=(8, 4)); \
   ...: sdr.plot.magnitude_response(h_hamming, x_axis="one-sided", label="Hamming"); \
   ...: sdr.plot.magnitude_response(h_hann, x_axis="one-sided", label="Hann"); \
   ...: sdr.plot.magnitude_response(h_blackman, x_axis="one-sided", label="Blackman"); \
   ...: sdr.plot.magnitude_response(h_blackman_harris, x_axis="one-sided", label="Blackman-Harris"); \
   ...: sdr.plot.magnitude_response(h_chebyshev, x_axis="one-sided", label="Chebyshev"); \
   ...: sdr.plot.magnitude_response(h_kaiser, x_axis="one-sided", label="Kaiser"); \
   ...: plt.legend(); \
   ...: plt.ylim(-100, 10);
   ...: 

../../_images/sdr_design_highpass_fir_3.png